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Finding the Fourth Proportional to 3,374.16, 4,656 and 1,881.96

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Solution

The fourth proportional to 3,374.16, 4,656 and 1,881.96 is: 2,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.16 : 4,656 = 1,881.96 : x
  2. Step 2: Convert to fraction form
    3,374.16/4,656 = 1,881.96/x
  3. Step 3: Cross multiply
    3,374.16x = 4,656 × 1,881.96
  4. Step 4: Simplify right side
    3,374.16x = 8,762,405.76
  5. Step 5: Solve for x
    x = 8,762,405.76/3,374.16
  6. Step 6: Final answer
    x = 2,596.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.